SOLUTION: soybean meal is 12%protein, cornmeal is 6% protein, how many poinds of each should you mix together in order to get 240lb mixture that is 7%protein? 12x+6x-7=240?

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Question 353161: soybean meal is 12%protein, cornmeal is 6% protein, how many poinds of each should you mix together in order to get 240lb mixture that is 7%protein?
12x+6x-7=240?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First name your variables.
Let S be the amount of soybean meal.
Let C be the amount of corn meal.
Now find the total weight equation.
1.S%2BC=240
Now find the protein concentration equation.
12S%2B6C=7%28240%29
2.6S%2B3C=840
Now you have 2 equations with 2 unknowns.
Multiply eq. 1 by (-3) and add the equations together.
-3S-3C%2B6S%2B3C=-720%2B840
3S=120
highlight%28S=40%29lb.
Then from eq. 1,
40%2BC=240
highlight%28C=200%29lb.